This quest is given by Chase as part of the checklist quest “Acadian Ideals”. Head to the Hull (Far Harbor) and talk to Brooks, a shop owner. Give him his designation to make him talk then head south to find the missing synth.
Just follow the quest marker until you find a splatter of blood inside a wooden shack. Examine the blood trail and follow it until you reach an abandoned house occupied by trappers. You can attack them or negotiate with them. Unfortunately, the missing synth didn't make it and the trappers will give you what's left of him. You can still kill the trappers if you want without any repercussions.
Report the incident to Chase. She'll offer you 200 caps but you'll have the chance to negotiate a higher reward through a successful speech check. You'll also receive the Hitman's Maximized Institute Rifle as a bonus reward.